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Finding the Fourth Proportional to 1,914.99, 2,642.60 and 1,064.21

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Solution

The fourth proportional to 1,914.99, 2,642.60 and 1,064.21 is: 1,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.99 : 2,642.60 = 1,064.21 : x
  2. Step 2: Convert to fraction form
    1,914.99/2,642.60 = 1,064.21/x
  3. Step 3: Cross multiply
    1,914.99x = 2,642.60 × 1,064.21
  4. Step 4: Simplify right side
    1,914.99x = 2,812,267.80
  5. Step 5: Solve for x
    x = 2,812,267.80/1,914.99
  6. Step 6: Final answer
    x = 1,468.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.